Abstarct— This paper proposes a digital image watermarking of still images using self-kronecker product of orthogonal transforms and Singular Value Decomposition. Singular Value Decomposition is used due to its high stability and high image energy compaction in few numbers of singular values. Kronecker product of two transforms helps us to focus on only global features and not the local feature...

Using an algorithm for computing the symmetric function Kronecker product of D-finite symmetric functions we find some new Kronecker product identities. The identities give closed form formulas for trace-like values of the Kronecker product. Introduction In the process of showing how the scalar product of symmetric functions can be used for enumeration purposes, Gessel [3], proved that this pro...

This paper investigates the Kronecker separability of the joint polarimetric angular power spectrum density (PSD) between the base station (BS) and mobile station (MS) of double directional measurements in an urban macrocell in Tokyo. A general form of the sum of channel polarization pair-wise Kronecker product approximation is proposed to be used to model a full channel correlation matrix. Its...

In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n large enough, the values of the Kronecker coefficients appearing in the product of two Schur functions of degree n do not depend on the first part of the indexing partitions, but only on the values of their remaining parts. We compute the exact value of n when ...

Discovering underlying low dimensional structure of a high-dimensional matrix is traditionally done through rank approximations in the form sum rank-one matrices. In this article, we propose new approach. We assume can be approximated by small number Kronecker products matrices with potentially different configurations, named as hybrid outer Product Approximation (hKoPA). It provides an extreme...

Using the block vec matrix, I give a necessary and sufficient condition for factorization of a matrix into the Kronecker product of two other matrices. As a consequence, I obtain an elementary algorithmic procedure to decide whether a matrix has a square root for the Kronecker product. Introduction My statistician colleague, J.E. Chacón, asked me how to decide if a real given matrix A has a squ...

We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices. 2010 Math. Subj. Class.: 15A69, 15B57.